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math.DG2026
Geometric -stability of geodesic spheres under volume-preserving mean curvature flow
Esther Cabezas-Rivas, Carlo Sinestrari
We prove stability of geodesic spheres under volume-preserving mean curvature flow in the simply connected space forms under genuinely first-order geometric assumptions. The initia…
math.AP2026
Obstacles and Singularities of Riemannian Distance Functions
Paolo Albano, Piermarco Cannarsa, Carlo Sinestrari
We study the distance function from a point target in the complement of a compact obstacle endowed with a smooth Riemannian metric. We prove that the obstacle necessarily generates…